Name
PreCalc 30
Quiz 9 Rational Functions
2
30.11v13 LK
Outcome 9a: I can
demonstrate
understanding of
rational functions.
Definitions:
•
Rational expression
•
Asymptote
•
Hole
Identify from a graph:
•
Roots and holes
•
Asymptotes
•
Domain and Range
•
End behavior
3
I can match a set of equations of rational
functions to their corresponding graphs
Determine asymptotes and holes from an
equation
Write the equation given a graph
Graph the function given a set of
characteristics
Find solutions to rational equations
using technology
Level 2
1. For the following graph, identify the following:
a. Vertical asymptotes
b. Horizontal asymptotes
c. Holes
d. End behavior
e. Domain
f. Range
2. Using technology, find the solution to the
following rational equation. Sketch the
graph that you have obtained on your
calculator and clearly state solutions.
4
In addition to demonstrating
level 3 performance, I am
capable of in depth inferences
and applications that go
beyond what was taught in
class
Level 3
3. For the following rational function, state the following characteristics:
a. Vertical Asymptotes:
b. Horizontal asymptotes
c. Holes:
4. Graph the following function. Be sure to give the equations of all asymptotes.
5. Match each graph below with one of the following equations. Write the letter on the graph.
6. Write the equation for the graph of the rational function
below.
Level 4
7. If the function
discontinuity at
, where b and c are real numbers, has a point of
, where does it have x-intercept(s) and vertical asymptote(s), if any?